## Ideal Gas Laws

• ### Units and Variables

• P - pressure, in Pascals or atmospheres
• V - volume, in cubic meters
• T - temperature, in Kelvin
• n - number of moles
• N - number of particles (atoms, molecules, etc.)
• $R=8.314472\frac{J}{\mathrm{mol}K}=0.08214\frac{L\mathrm{atm}}{\mathrm{mol}K}$
• ${N}_{A}=6.022×{10}^{23}$
• ${k}_{B}=\frac{R}{{N}_{A}}=1.38×{10}^{-23}\frac{J}{K}$
• $PV=nRT=N{k}_{B}T$
• $n=\frac{N}{{N}_{A}}=\frac{m}{M}$